Finding the Third Proportional to 144,865.50 and 213,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,865.50 : 213,109.50 = 213,109.50 : x
2. Step 2: Convert to fraction form
   144,865.50/213,109.50 = 213,109.50/x
3. Step 3: Cross multiply
   144,865.50x = 213,109.50 × 213,109.50
4. Step 4: Simplify right side
   144,865.50x = 45,415,658,990.25
5. Step 5: Solve for x
   x = 45,415,658,990.25/144,865.50
6. Step 6: Final answer
   x = 313,502.24